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Simplifying -2iz2 + (-4 + 8i) * z + 8 + -6i = 0 Reorder the terms for easier multiplication: -2iz2 + z(-4 + 8i) + 8 + -6i = 0 -2iz2 + (-4 * z + 8i * z) + 8 + -6i = 0 Reorder the terms: -2iz2 + (8iz + -4z) + 8 + -6i = 0 -2iz2 + (8iz + -4z) + 8 + -6i = 0 Reorder the terms: 8 + -6i + 8iz + -2iz2 + -4z = 0 Solving 8 + -6i + 8iz + -2iz2 + -4z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -6i + 8iz + -2iz2 + -8 + -4z = 0 + -8 Reorder the terms: 8 + -8 + -6i + 8iz + -2iz2 + -4z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6i + 8iz + -2iz2 + -4z = 0 + -8 -6i + 8iz + -2iz2 + -4z = 0 + -8 Combine like terms: 0 + -8 = -8 -6i + 8iz + -2iz2 + -4z = -8 Add '4z' to each side of the equation. -6i + 8iz + -2iz2 + -4z + 4z = -8 + 4z Combine like terms: -4z + 4z = 0 -6i + 8iz + -2iz2 + 0 = -8 + 4z -6i + 8iz + -2iz2 = -8 + 4z Reorder the terms: 8 + -6i + 8iz + -2iz2 + -4z = -8 + 4z + 8 + -4z Reorder the terms: 8 + -6i + 8iz + -2iz2 + -4z = -8 + 8 + 4z + -4z Combine like terms: -8 + 8 = 0 8 + -6i + 8iz + -2iz2 + -4z = 0 + 4z + -4z 8 + -6i + 8iz + -2iz2 + -4z = 4z + -4z Combine like terms: 4z + -4z = 0 8 + -6i + 8iz + -2iz2 + -4z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -3i + 4iz + -1iz2 + -2z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3i + 4iz + -1iz2 + -2z)' equal to zero and attempt to solve: Simplifying 4 + -3i + 4iz + -1iz2 + -2z = 0 Solving 4 + -3i + 4iz + -1iz2 + -2z = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3i + 4iz + -1iz2 + -4 + -2z = 0 + -4 Reorder the terms: 4 + -4 + -3i + 4iz + -1iz2 + -2z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3i + 4iz + -1iz2 + -2z = 0 + -4 -3i + 4iz + -1iz2 + -2z = 0 + -4 Combine like terms: 0 + -4 = -4 -3i + 4iz + -1iz2 + -2z = -4 Add '2z' to each side of the equation. -3i + 4iz + -1iz2 + -2z + 2z = -4 + 2z Combine like terms: -2z + 2z = 0 -3i + 4iz + -1iz2 + 0 = -4 + 2z -3i + 4iz + -1iz2 = -4 + 2z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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